Question

Find the product of the monomial and the polynomial:
−3a·(7a^2−4)

Answer 1

`-21a^(3)+12a`

Explanation:

We are given that

`-3a\cdot (7a^2-4)`

We have to find the product .

To find the product we will multiply -3a with each term given in the bracket

`-3a(7a^2)-3a(-4)`

`-21a^(1+2)+12a`

By using the formula

`a^(x)\cdot a^(y)=a^(x+y)`

`-21a^(3)+12a`

Hence,

`-3a\cdot (7a^2-4)=-21a^(3)+12a`